Question 1

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-  +   =

Accepted Answer

A)  {0, 20} 
B)  {20} 
C)  {-20} 
D)  {0, -20} 
A)  {0, 20} 
B)  {20} 
C)  {-20} 
D)  {0, -20}

Question 2

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-- 169 = 0

Accepted Answer

A)  { -13} 
B)  { 13} 
C)  {0, 13} 
D)  { -13, 13} 
A)  { -13} 
B)  { 13} 
C)  {0, 13} 
D)  { -13, 13}

Question 3

Solve the problem. Round to the nearest tenth, if necessary.
-If an object is thrown upward with an initial velocity of   , its height after t sec is given by   . Find the maximum height attained by the object. (The object will attain maximum height exactly at the halfway point in terms of the time t, where t = 0 is at the beginning of the object's flight, and the final time is when the object hits the ground.)

Accepted Answer

A)  0 ft 
B)  16 ft 
C)  4 ft 
D)  -12 ft 
A)  0 ft 
B)  16 ft 
C)  4 ft 
D)  -12 ft

Question 4

Factor completely.
-x2 + 50x + 625

Accepted Answer

A)  (x - 25)2  
B)  (x + 25)2  
C)  (x + 25)(x - 25) 
D)  Prime 
A)  (x - 25)2  
B)  (x + 25)2  
C)  (x + 25)(x - 25) 
D)  Prime

Question 5

Factor by grouping.
-  + 6x + xy + 6y

Accepted Answer

A)  (x + 6)(x + y) 
B)  (x - 6)(x - y) 
C)  (x - 6)(x + y) 
D)  (x + 6)(x - y) 
A)  (x + 6)(x + y) 
B)  (x - 6)(x - y) 
C)  (x - 6)(x + y) 
D)  (x + 6)(x - y)

Question 6

Solve the problem.
-Find three consecutive odd integers such that the sum of all three is 36 less than the product of the smaller two.

Accepted Answer

A)  7, 9, 11 
B)  7, 9, 11, or -6, -4, -2 
C)  5, 7, 9 
D)  -6, -4, -2 
A)  7, 9, 11 
B)  7, 9, 11, or -6, -4, -2 
C)  5, 7, 9 
D)  -6, -4, -2

Question 7

Factor by grouping.
-25z4+ 10z2- 8

Accepted Answer

A)  ( 5z2+ 4)( 5z2- 2) 
B)  ( 5z4+ 4)( 5z - 2) 
C)  ( 5z4+ 2)( 5z - 4) 
D)  ( 5z2+ 2)( 5z2- 4) 
A)  ( 5z2+ 4)( 5z2- 2) 
B)  ( 5z4+ 4)( 5z - 2) 
C)  ( 5z4+ 2)( 5z - 4) 
D)  ( 5z2+ 2)( 5z2- 4)

Question 8

Factor the binomial completely. If it is prime, say so.
-64x2 - 81

Accepted Answer

A)  ( 8x + 9)2  
B)  ( 8x + 9)( 8x - 9)  
C)  ( 8x - 9)2  
D)  Prime 
A)  ( 8x + 9)2  
B)  ( 8x + 9)( 8x - 9)  
C)  ( 8x - 9)2  
D)  Prime

Question 9

Complete the factoring.
-x2 - 4x - 32 = (x + 4)( )

Accepted Answer

A)  x + 8 
B)  8 - x 
C)  x - 8 
D)  -x - 8 
A)  x + 8 
B)  8 - x 
C)  x - 8 
D)  -x - 8

Question 10

Factor completely.
-12x2 - 52x - 40

Accepted Answer

A)  ( 12x + 8)(x - 5) 
B)  Prime 
C)  4(3x - 2)(x + 5) 
D)  4(3x + 2)(x - 5) 
A)  ( 12x + 8)(x - 5) 
B)  Prime 
C)  4(3x - 2)(x + 5) 
D)  4(3x + 2)(x - 5)

Question 11

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-4d2 + 22d + 30 = 0

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Factor completely.
-5w - 5x + 5   - 5

Accepted Answer

A)  5(w - x)(1 + w + x) 
B)  5(w - x)(w + x) 
C)  (w - x)(1 + w + x) 
D)  5(w - x)(1 + w - x) 
A)  5(w - x)(1 + w + x) 
B)  5(w - x)(w + x) 
C)  (w - x)(1 + w + x) 
D)  5(w - x)(1 + w - x)

Question 13

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-Mark's teacher asked him to solve the following problem: "One leg of a right triangle is 7 m longer than the other. The length of the hypotenuse is 13 m. Find the lengths of the legs." Mark translated the problem into the following equation:   . Why is this equation not correct and what would the correct equation be?

Accepted Answer

If the length of the shorter l

Question 14

Solve the problem.
-Suppose a pyramid has a rectangular base whose width is 3 centimeters less than its length. If the height is 9 centimeters and the volume is 162 cubic centimeters, find the length of the base.

Accepted Answer

A)  54 cm 
B)  3 cm 
C)  6 cm 
D)  9 cm 
A)  54 cm 
B)  3 cm 
C)  6 cm 
D)  9 cm

Question 15

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-12   = 3r

Accepted Answer

A)    
B)    
C)  {0, 4} 
D)  {0} 
A)    
B)    
C)  {0, 4} 
D)  {0}

Question 16

Solve the problem.
-Find three consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest.

Accepted Answer

A)  -1, 0, 1 
B)  3, 4, 5 
C)  -1, 0, 1 or 3, 4, 5 
D)  -3, -4, -5 
A)  -1, 0, 1 
B)  3, 4, 5 
C)  -1, 0, 1 or 3, 4, 5 
D)  -3, -4, -5

Question 17

Write the word or phrase that best completes each statement or answers the question. 
 
Provide an appropriate response.
-Suppose you have to solve the following problem: "The length of a rectangle is 5 ft more than its width and its area is 84 square feet. Find its width and length." Let x represent the width of the rectangle and translate the problem into an equation. Do not solve the equation.

Accepted Answer

The answer of Write the word or phrase that best...

Question 18

Factor completely.
-  + 28x + 4

Accepted Answer

A)    
B)    
C)  ( 7x + 2)( 7x - 2) 
D)  Prime 
A)    
B)    
C)  ( 7x + 2)( 7x - 2) 
D)  Prime

Question 19

Choose the one alternative that best completes the statement or answers the question.Solve the equation.
-  + 10x + 25 = 0

Accepted Answer

A)  { -5} 
B)  { 5, 1} 
C)  { -5, 0} 
D)  { 5} 
A)  { -5} 
B)  { 5, 1} 
C)  { -5, 0} 
D)  { 5}

Question 20

Factor the polynomial completely.
-125   - 8

Accepted Answer

A)  ( 125a - 2b)(   + 10ab + 4   ) 
B)  ( 5a - 2b)( 25   + 10ab + 4   ) 
C)  ( 5a + 2   )( 25   - 10ab + 4   ) 
D)  ( 5a - 2b)( 25   + 4   ) 
A)  ( 125a - 2b)(   + 10ab + 4   ) 
B)  ( 5a - 2b)( 25   + 10ab + 4   ) 
C)  ( 5a + 2   )( 25   - 10ab + 4   ) 
D)  ( 5a - 2b)( 25   + 4   )

Choose the one alternative that best completes the statement or answers the question.Solve the equation. - + =

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -- 169 = 0

Factor completely. -x² + 50x + 625

Factor by grouping. - + 6x + xy + 6y

Solve the problem. -Find three consecutive odd integers such that the sum of all three is 36 less than the product of the smaller two.

Factor by grouping. -25z⁴+ 10z²- 8

Factor the binomial completely. If it is prime, say so. -64x² - 81

Complete the factoring. -x² - 4x - 32 = (x + 4)( )

Factor completely. -12x² - 52x - 40

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -4d² + 22d + 30 = 0

Factor completely. -5w - 5x + 5 - 5

Solve the problem. -Suppose a pyramid has a rectangular base whose width is 3 centimeters less than its length. If the height is 9 centimeters and the volume is 162 cubic centimeters, find the length of the base.

Choose the one alternative that best completes the statement or answers the question.Solve the equation. -12 = 3r

Solve the problem. -Find three consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest.

Factor completely. - + 28x + 4

Choose the one alternative that best completes the statement or answers the question.Solve the equation. - + 10x + 25 = 0

Factor the polynomial completely. -125 - 8

The Real Number System

Linear Equations and Inequalities in One Variable

Linear Equations and Inequalities in Two Variables; Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring and Applications

Roots and Radicals

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Exam 7: Rational Expressions and Applications